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Finding the Fourth Proportional to 489.81, 674.95 and 349.53

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Solution

The fourth proportional to 489.81, 674.95 and 349.53 is: 481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.81 : 674.95 = 349.53 : x
  2. Step 2: Convert to fraction form
    489.81/674.95 = 349.53/x
  3. Step 3: Cross multiply
    489.81x = 674.95 × 349.53
  4. Step 4: Simplify right side
    489.81x = 235,915.27
  5. Step 5: Solve for x
    x = 235,915.27/489.81
  6. Step 6: Final answer
    x = 481.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.